Modal analysis is used extensively for understanding the dynamic behavior of structures.
However, a major concern for structural dynamicists is that its validity is limited to linear …

The author attempts to portray the ideas and general principles of the theory of materials
within the framework of phenomenological continuum mechanics. It is a well-written rigorous …

Dynamical models underpin our ability to understand and predict the behaviour of natural
systems. Whether dynamical models are developed from first-principles derivations or from …

We investigate some basic properties of the proper orthogonal decomposition (POD)
method as it is applied to data compression and model reduction of finite dimensional …

Many industrial processes belong to distributed parameter systems (DPS) that have strong
spatial–temporal dynamics. Modeling of DPS is difficult but essential to simulation, control …

In this paper, we demonstrate how efficient low-order dynamical models for
micromechanical devices can be constructed using data from a few runs of fully meshed but …

This study employs the method of proper orthogonal decomposition (POD), also known as
the Karhunen–Loeve (K–L) method, to extract dominant coherent structures (modes that …

Particle image velocimetry (PIV) measurements were carried out on a backward-facing step
flow at a Reynolds number of Re h= U∞ h/ν= 4,660 (based on step height and freestream …

This article proposes a rigorous and practical methodology for the derivation of accurate
finite-dimensional approximations and the synthesis of non-linear output feedback …

Proper orthogonal decomposition (POD) was performed on both the fluctuating velocity and
vorticity fields of a backward-facing step (BFS) flow at Reynolds numbers of 580 and 4,660 …